83180 has 12 divisors (see below), whose sum is σ = 174720. Its totient is φ = 33264.

The previous prime is 83177. The next prime is 83203. The reversal of 83180 is 8138.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 4159 = 83180 / (8 + 3 + 1 + 8 + 0).

It is a plaindrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2060 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (14560).

2⁸³¹⁸⁰ is an apocalyptic number.

It is an amenable number.

83180 is an abundant number, since it is smaller than the sum of its proper divisors (91540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

83180 is a wasteful number, since it uses less digits than its factorization.

83180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4168 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 83180 is about 288.4094311911. The cubic root of 83180 is about 43.6522169880.

The spelling of 83180 in words is "eighty-three thousand, one hundred eighty".